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Retarded potentials for wave propagation in elastic trusses
Author(s) -
Pölz Dominik,
Gfrerer Michael,
Schanz Martin
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800437
Subject(s) - truss , discretization , boundary (topology) , domain (mathematical analysis) , boundary value problem , finite element method , resolution (logic) , mathematical analysis , mathematics , computer science , structural engineering , engineering , artificial intelligence
A space‐time boundary element method for the dynamic simulation of simplified elastic truss systems is proposed. The considered truss systems consist of elastic rods whose dynamic behaviour is governed solely by the 1D wave equation. By using time domain boundary integral equations the problem reduces to the nodes of the truss system and therefore no spatial discretization is necessary. The discretization employs an adaptive mesh refinement scheme enabling the accurate resolution of non‐smooth solutions.